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May 12, 2024
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2017-2018 Catalog [ARCHIVED PUBLICATION] Use the dropdown above to select the current catalog.
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MATH147 HM - Topology
Credit(s): 3
Karp, Pippenger, Su, Flapan (Pomona). Topology is the study of properties of objects preserved by continuous deformations (much like geometry is the study of properties preserved by rigid motions). Hence, topology is sometimes called “rubber-sheet” geometry. This course is an introduction to point-set topology with additional topics chosen from geometric and algebraic topology. It will cover topological spaces, metric spaces, product spaces, quotient spaces, Hausdorff spaces, compactness, connectedness, and path connectedness. Additional topics will be chosen from metrization theorems, fundamental groups, homotopy of maps, covering spaces, the Jordan curve theorem, classification of surfaces, and simplicial homology. (Jointly with Pomona; Spring semester)
Prerequisite(s): MATH131 HM
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